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This book consists of lecture notes of a summer school named after the late Jacques Louis Lions. The summer school was designed to alert both Academia and Industry to the increasing role of multidisciplinary methods and tools for the design of complex products in various areas of socio-economic intereSt. This volume offers the reader a rare opportunity of being exposed to the presentation of real industrial and societal problems together with the relevant innovative methods used.

Mathematical optimization. --- Mathematical analysis. --- Multidisciplinary design optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Design optimization, Multidisciplinary --- Multicriteria design optimization --- Multidisciplinary optimization (Engineering design) --- Combinatorial optimization --- Engineering design --- 517.1 Mathematical analysis --- Differential equations, partial. --- Computer science --- Engineering mathematics. --- Hydraulic engineering. --- Vibration. --- Partial Differential Equations. --- Optimization. --- Computational Mathematics and Numerical Analysis. --- Mathematical and Computational Engineering. --- Engineering Fluid Dynamics. --- Vibration, Dynamical Systems, Control. --- Mathematics. --- Cycles --- Mechanics --- Sound --- Partial differential equations --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Engineering analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Partial differential equations. --- Computer mathematics. --- Applied mathematics. --- Fluid mechanics. --- Dynamical systems. --- Dynamics. --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics --- Hydromechanics --- Continuum mechanics